Consider the following. xy dA, D is enclosed by the curves y = x², y = 4x Express D as a region of type 1. {(x, y) | 4 ≤ x ≤ 16, x² sys D = 16x} D = {(x, y) |0 ≤ x ≤ 4, x² ≤ y ≤ 4x} {(x, y) | 0 ≤ x ≤ 16, x² ≤ y ≤ D= 16x} D = ((x, y) |0 ≤ x ≤y, x² ≤ y ≤ 4} D = {(x, y) |0 ≤ x ≤ 4, x² ≤ y ≤ 4x} Express D as a region of type II. D = {(x, y) 10 ≤ y ≤ 4,0 ≤ x ≤ 16} = {(x, y) 1 0 ≤ y ≤ 16, ¼ ≤ x ≤ √y} 4 D = {(x, y) 1 0 ≤ y ≤ 4, 1/1 ≤ √x = √y} ≤√y} D= D = {(x, y) 1 0 ≤ y ≤ 16, 1 ≤ ≤x≤ √Y} D >= {(x, y) 10 ≤ y ≤ 4, 1 y 16 16 Evaluate the double integral in two ways. 512 3
Consider the following. xy dA, D is enclosed by the curves y = x², y = 4x Express D as a region of type 1. {(x, y) | 4 ≤ x ≤ 16, x² sys D = 16x} D = {(x, y) |0 ≤ x ≤ 4, x² ≤ y ≤ 4x} {(x, y) | 0 ≤ x ≤ 16, x² ≤ y ≤ D= 16x} D = ((x, y) |0 ≤ x ≤y, x² ≤ y ≤ 4} D = {(x, y) |0 ≤ x ≤ 4, x² ≤ y ≤ 4x} Express D as a region of type II. D = {(x, y) 10 ≤ y ≤ 4,0 ≤ x ≤ 16} = {(x, y) 1 0 ≤ y ≤ 16, ¼ ≤ x ≤ √y} 4 D = {(x, y) 1 0 ≤ y ≤ 4, 1/1 ≤ √x = √y} ≤√y} D= D = {(x, y) 1 0 ≤ y ≤ 16, 1 ≤ ≤x≤ √Y} D >= {(x, y) 10 ≤ y ≤ 4, 1 y 16 16 Evaluate the double integral in two ways. 512 3
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 33E
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